468457836 has 288 divisors, whose sum is σ = 1500291072. Its totient is φ = 112210560.

The previous prime is 468457807. The next prime is 468457837. The reversal of 468457836 is 638754864.

Its product of digits (3870720) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468457837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6991875 + ... + 6991941.

It is an arithmetic number, because the mean of its divisors is an integer number (5209344).

Almost surely, 2^468457836 is an apocalyptic number.

468457836 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468457836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750145536).

468457836 is an abundant number, since it is smaller than the sum of its proper divisors (1031833236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468457836 is a wasteful number, since it uses less digits than its factorization.

468457836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The square root of 468457836 is about 21643.8868043612. The cubic root of 468457836 is about 776.6467024612.

The spelling of 468457836 in words is "four hundred sixty-eight million, four hundred fifty-seven thousand, eight hundred thirty-six".